'Enter' the Dragon

Number Theory Level 3

Help me solve this problem, where the E N T E R \boxed{ENTER} key has been pressed by mistake in a few places!

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 1+1+1+1+1+1+1+1+1+1

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 1+1+1+1+1+1+1+1+1+1+1

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 1+1+1+1+1+1+1+1+1+1+1

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 1+1+1+1+1+1+1+1+1+1+1

= =

Note : The whole thing is one big addition problem, and not 4 or 5 different equations, so add all the numbers to get the answer :)


The answer is 70.

A Former Brilliant Member by A Former Brilliant Member

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3 solutions

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 11 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 11 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 11 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 11 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 11 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 11 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 70 {1+1+1+1+1+1+1+1+1+11+1+1+1+1+1+1+1+1+1+11+1+1+1+1+1+1+1+1+1+11+1+1+1+1+1+1+1+1+1+11+1+1+1+1+1+1+1+1+1+11+1+1+1+1+1+1+1+1+1+11+1+1+1+1+1+1+1+1+1+1=\boxed{70}}

No trick, I think I have seen this before.

3 Helpful 3 Interesting 3 Brilliant 0 Confused

It is very common as a problem that is often said to be 'solved only by 5%' but ends up getting solved by 95% @Vinayak Srivastava LOL

A Former Brilliant Member - 10 months, 4 weeks ago
Mahdi Raza
Jul 19, 2020
  • There are a total of forty-three 1's
  • There are 3 pairs of 1 and 1 which form an 11 where the enters key has been entered.
  • So we are left with thirty-seven 1's and three 11's

37 ( 1 ) + 3 ( 11 ) = 70 37(1) + 3(11) = \boxed{70}

2 Helpful 2 Interesting 2 Brilliant 0 Confused

This -

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 1+1+1+1+1+1+1+1+1+1

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 1+1+1+1+1+1+1+1+1+1+1

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 1+1+1+1+1+1+1+1+1+1+1

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 1+1+1+1+1+1+1+1+1+1+1

= =

Can be rewritten as this -

1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 1+1+1+1+1+1+1+1+1+1 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 1+1+1+1+1+1+1+1+1+1+1 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 1+1+1+1+1+1+1+1+1+1+1 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 1+1+1+1+1+1+1+1+1+1+1 = =

. .

70 \boxed{70}

. .

The trick is to see that the 11’s have been separated by the ENTER, making them look like 1’s \colorbox{cyan}{The trick is to see that the 11's have been separated by the ENTER, making them look like 1's}

1 Helpful 1 Interesting 1 Brilliant 0 Confused

oof i did not see that one coming i overlooked it when i read it was a big sum

NSCS 747 - 10 months, 2 weeks ago

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M e t o o \Huge Me \ too

Lâm Lê - 9 months, 1 week ago

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